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Simplifying 9(6 + 2a) = -1(2 + -4a) (6 * 9 + 2a * 9) = -1(2 + -4a) (54 + 18a) = -1(2 + -4a) 54 + 18a = (2 * -1 + -4a * -1) 54 + 18a = (-2 + 4a) Solving 54 + 18a = -2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 54 + 18a + -4a = -2 + 4a + -4a Combine like terms: 18a + -4a = 14a 54 + 14a = -2 + 4a + -4a Combine like terms: 4a + -4a = 0 54 + 14a = -2 + 0 54 + 14a = -2 Add '-54' to each side of the equation. 54 + -54 + 14a = -2 + -54 Combine like terms: 54 + -54 = 0 0 + 14a = -2 + -54 14a = -2 + -54 Combine like terms: -2 + -54 = -56 14a = -56 Divide each side by '14'. a = -4 Simplifying a = -4
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